57824660992 has 160 divisors (see below), whose sum is σ = 135439045632. Its totient is φ = 24149090304.

The previous prime is 57824660987. The next prime is 57824661001. The reversal of 57824660992 is 29906642875.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47670178 + ... + 47671390.

Almost surely, 2^57824660992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57824660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67719522816).

57824660992 is an abundant number, since it is smaller than the sum of its proper divisors (77614384640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57824660992 is a wasteful number, since it uses less digits than its factorization.

57824660992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 57824660992 in words is "fifty-seven billion, eight hundred twenty-four million, six hundred sixty thousand, nine hundred ninety-two".